A boson-expansion method is used to study one- and two-boson states in metallic clusters. A jellium model and local-density-approximation energy-density-functional theory are the starting point for obtaining the basic bosons describing electron excitations. A boson mapping allows one to diagonalize the residual interaction between bosons. For the example of the Na₂₁⁺ cluster, it is found that strong anharmonic effects appear in the electronic excitation spectrum.
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Catara et al. (1993) studied this question.
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